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big_math_dataset

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Two numbers N and 16 have LCM = 48 and GCF = 8. Find N.
A began a business with Rs. 85,000. He was joined afterwards by B with Ks. 42,500. For how much period does B join, if the profits at the end of the year are divided in the ratio of 6 : 1 ?
One man adds 3 liters of water to 12 liters of milk and another 4 liters of water to 10 liters of milk. What is the ratio of the strengths of milk in 2 mixtures?
What is the units digit of (498) (915) (381) (756) (29)
In how many ways the letters of the word ENGINEERING can be arranged?
Fence X is twice as long as fence Y, and fence Y is 1 feet shorter than fence Z. If 3 feet were added to each fence, which of the following must be true? I) X is twice as long as Y. II) Y is 1 feet shorter than Z. III) X is longer than Z.
On dividing 109 by a number, the quotient is 9 and the remainder is 1. Find the divisor.
120kg of an alloy A is mixed with 180 kg of alloy B. If alloy A has lead and tin in the ratio 2:3 and alloy B has tin and copper in the ratio 3:5, then the amount of tin in the new alloy is?
180,131,95,70,?
A plant manager must assign 6 new workers to one of five shifts. She needs a first, second, and third shift, and two alternate shifts. Each of the shifts will receive 2 new workers. How many different ways can she assign the new workers?
The timing of a college is from 12 p.m to 4.20 p.m. Five lectures are held in the given duration and a break of 5 minutes after each lecture is given to the students. Find the duration of each lecture.
Albert invested an amount of Rs.8000 in a fixed deposit scheme for 2 years at compound interest rate 5 p.c.p.a. How much amount will Albert get on maturity of the fixed deposit ?
If p+q=8z, then which of the following represents the average (arithmetic mean) of p, q, and z, in terms of z?
How much space, in cubic units, is left vacant when maximum number of 6x6x6 cubes are fitted in a rectangular box measuring 12x18x14 ?
Due to 10% decrease in the price of sugar and John can buy 5kg more sugar in Rs100 , then find the CP of sugar?
A bag contain 4 red , 6 yellow, 5 green balls, 3 balls are drawn randomly . What is the probability that the balls drawn contain exactly two green balls ?
A team of 6 cooks is chosen from 6 men and 5 women. The team must have at least 2 men and at least 3 women. How many ways can this team be created?
What percent of the different arrangements of the letters of the word ABACUS are those in which the vowels appear together?
The ratio between the present ages of P and Q is 6:7. If Q is 4 years old than P, what will be the ratio of the ages of P and Q after 4 years
Three pounds of 05 grass seed contain 3 percent herbicide. A different type of grass seed, 20, which contains 20 percent herbicide, will be mixed with three pounds of 05 grass seed. How much grass seed of type 20 should be added to the three pounds of 05 grass seed so that the mixture contains 15 percent herbicide?
What will be the reminder when (67^67+67) is divided by 68?
There are 20 poles with a constant distance between each pole. A car takes 24 second to reach the 12th pole. How much will it take to reach the last pole.
Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is?
A person got Rs.60 more when he invested a certain sum at compound interest instead of simple interest for two years at 15% p.a. Find the sum?
Q's mother is sister of P and daughter of M. S is daughter of P and sister of T.How is M related to T?
Expenditures of a Company (in Lakh Rupees) per Annum Over the given Years. Year Item of Expenditure Salary Fuel and Transport Bonus Interest on Loans Taxes 1998 288 98 3.00 23.4 83 1999 342 112 2.52 32.5 108 2000 324 101 3.84 41.6 74 2001 336 133 3.68 36.4 88 2002 420 142 3.96 49.4 98 The total amount of Fuel paid by t...
he distance from town A to town B is five miles. C is six miles from B. Which of the following could be the maximum distance from A to C?
Margaret is 13 years more than twice the age of his son. The age of son is 12. Find the age of mother and find the difference between their ages
The price of an item is discounted 7 percent on day 1 of a sale. On day 2, the item is discounted another 7 percent, and on day 3, it is discounted an additional 10 percent. The price of the item on day 3 is what percentage of the sale price on day 1?
Out of the total 390 students studying in a college of Arts and Science, boys and girls are in the ratio of 7 : 6 respectively and the number of students studying Arts and Science are in the ratio of 3 : 7 respectively. The boys and girls studying Arts are in the ratio of 4 : 5 respectively. How many boys are studying ...
In 2 bags, there are to be put together 5 red and 12 white balls, neither bag being empty. How must the balls be divided so as to give a person who draws 1 ball from either bag- the greatest chance of drawing a red ball ?
The average of runs of a cricket player of 20 innings was 32. How many runs must he make in his next innings so as to increase his average of runs by 5 ?
A “Sophie Germain” prime is any positive prime number p for which 2p + 1 is also prime. The product of all the possible units digits of Sophie Germain primes greater than 9 is
Machine–A produces 40% of the total output and Machine-B produces 60% of the total output. An average of nine units out of a thousand goods manufactured by Machine-A and one unit of 100 units produced by Machine-B prove to be defective. What is the probability that a unit chosen at random from the total daily output of...
There are 3 people and 3 chairs. In how many different ways people can occupy the chairs?
If a positive integer n is divisible by both 3 and 7, then n must also be divisible by which of the following? I. 21 II. 10 III. 63
A train passes a station platform in 40 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Each night before he goes to bed, Jordan likes to pick out an outfit to wear the next day. He has 8 different shirts, 10 different pairs of jeans, and 8 pairs of sneakers. If an outfit consists of 1 shirt, 1 pair of jeans, and 1 pair of sneakers, how many different outfits does Jordan have?
X can finish a work in 30 days. Y can finish the same work in 15 days. Yworked for 10 days and left the job. how many days does X alone need to finish the remaining work?
There are different 6 circles. What is the number of the greatest possible points with which the circles intersect?
A and B started a business in partnership investing Rs.20,000 and Rs.15,000 respectively. After 6months, C joined them with Rs.20,000. Whatwill be B's share in total profit of Rs.15,000 earned at the end of 2years from the startingof the business?
If the weight of 10 meters long rod is 23.4 kg. What is the weight of 6 meters long rod ?
Two trains are moving in the same direction at 54 kmph and 36 kmph. The faster train crosses a man in the slower train in 27 seconds. Find the length of the faster train?
Solution for 3.15+.014+.458
If by selling twelve note-books, the seller earns profit equal to the selling price of two note-books, what is his percentage profit?
If x^2=x+2, then x^3 = ?
Find the odd man out. 5,7,9,12,13
Eva’s grade was in the 80th percentile out of 80 grades in her class. In another class of 70 students there were 30 grades higher than Eva’s. If nobody had Eva’s grade, then Eva was what percentile of the two classes combined?
It will take 16 days for Mary to complete a certain task alone. She worked for 8 days before she was joined by her sister. both of them completed the remaining task in 2 and half days. if her sister had joined her when she started the task, how many days would it have taken?
The radius of a cylindrical vessel is 7cm and height is 1cm. Find the whole surface of the cylinder?
What is the sum of all possible solutions to |x - 3|^2 + |x - 3| = 12 ?
In the formula of converting temperature from Celsius to Fahrenheit F=9/5C+32, How many integer values(not fractional) of F will be there that lies between 100 to 200 for integer values of C.
A businessman earns $25800 in December, thus decreasing his average annual (January to December) earnings by $1000. His average annual earnings would be Source: CMAT Preparation
Which of the following data sets has the second smallest standard deviation?
A tank is filled in 5 hours by three pipes A, B and C. The pipe C is twice as fast as B and B is twice as fast as A. How much time will pipe A alone take to fill the tank?
A die is rolled twice. What is the probability of getting a sum equal to 9?
What is the least number which when divided by 8, 12, 15 and 20 leaves in each case a remainder of 5
Jane started baby-sitting when she was 18 years old. Whenever she baby-sat for a child, that child was no more than half her age at the time. Jane is currently 32 years old, and she stopped baby-sitting 12 years ago. What is the current age of the oldest person for whom Jane could have baby-sat?
Two guns were fired from the same place at an interval of 10 minutes and 30 seconds, but a person in the train approaching the place hears the second shot 10 minutes after the first. The speed of the trian (in km/hr), supposing that speed travels at 330 metres per second, is:
In how many ways can an answer key for a quiz be written if the quiz contains 4 true-false questions followed by 3 multiple-choice questions with 4 answer choices each, if the correct answers to all true-false questions cannot be the same?
A train covers a distance of 10 km in 20 min. If it takes 6 sec to pass a telegraph post, then the length of the train is?
Simplify (4^y + 4^y + 4^y + 4^y) (4^y + 4^y + 4^y + 4^y)
If x, y, and z are positive integers such that x is divisible by y, and y is divisible by z, which of the following is NOT necessarily an integer?
The average mark of the students of a class in a particular exam is 80. If 5 students whose average mark in that exam is 40 are excluded, the average mark of the remaining will be 90. Find the number of students who wrote the exam?
If x and y are perfect squares, then which three of the following is not necessarily a perfect square?
Two heavily loaded sixteen-wheeler transport trucks are 787 kilometers apart, sitting at two rest stops on opposite sides of the same highway. Driver A begins heading down the highway driving at an average speed of 90 kilometers per hour. Exactly one hour later, Driver B starts down the highway toward Driver A, maintai...
A boy goes to his school from his house at a speed of 3 km/hr and returns at a speed of 2 km/hr. If he takes 5 hours in going and coming. The distance between his house and school is?
John is traveling to a meeting that is 20 miles away. He needs to be there in 30 minutes. How fast does he need to go to make it to the meeting on time?
The average of 50 numbers id 38. If two numbers, namely 45 and 55 are discarded, the average of the remaining numbers is :
A, B, C together started a business. A invested Rs.6000 for 5 months B invested Rs.3600 for 6 months and C Rs.7500 for 3 months. If they get a total profit of Rs.7410. Find the share of A?
In the first 20 overs of a cricket game, the run rate was only 4.6. What should be the run rate in the remaining 30 overs to reach the target of 396 runs?
What will be the vulgar fraction of 0.60
A train 130 meters long takes 6 seconds to cross a man walking at 5 kmph in the direction opposite to that of the train. Find the speed of the train.
which of the following options is a multiple of 5!-20?
If r > a and L < a, which of the following cannot be true?
If 5 is one solution of the equation x^2 + 3x + k = 10, where k is a constant, what is the other solution?
A shipment of 1500 heads of cabbage, each of which was approximately the same size was purchased for $600.The day the shipment arrived 2/3 of the heads were sold, each at 25% above the cost per head.The following day the rest were sold at a price per head equal to 16% less than the price each head sold for the day befo...
A person got Rs.48 more when he invested a certain sum at compound interest instead of simple interest for two years at 8% p.a. Find the sum?
A number of cats got together and decided to kill between them 999919 mice. Every cat killed an equal number of mice. Each cat killed more mice than there were cats. How many cats do you think there were?
A student is ranked 13th from right and 8th from left. How many students are there in totality ?
A batsman scored 120 runs whichincluded 3 boundaries and 8sixes. What % of his total score did he make by running between the wickets
In a group of 100 adults, 60 percent of the women are left-handed. If there are 12 right-handed women in the group, how many men are in the group?
At a certain company, each employee has a salary grade s that is at least 1 and at most 5. Each employee receives an hourly wage p, in dollars, determined by the formula p = 9.50 + 0.25(s – 1). An employee with a salary grade of 5 receives how many more dollars per hour than an employee with a salary grade of 2?
There are 600 boys in a hostel. Each plays either hockey or football or both. If 75% play hockey and 45% play football, how many play both?
Machine X can complete a job in half the time it takes Machine Y to complete the same job, and Machine Z takes 50% longer than Machine X to complete the job. If all three machines always work at their respective, constant rates, what is the ratio A of the amount of time it will take Machines X and Z to complete the job...
An automobile financier claims to be lending money at simple interest, but he includes the interest every six months for calculating the principal. If he is charging an interest of 10%, the effective rate of interest after one year becomes:
What percent of the different arrangements of the letters of the word ADACUS are those in which the vowels appear together?
Which digits should come in place of * and $ if the number 62684*$ is divisible by both 8 and 5 ?
If a and b are even numbers, which of the following CANNOT be the value of ab?
A man in train notice that he can count 51 telephone posts in 1 minute. If they are known to be 60 meters apart,then at what speed is the train traveling?
A train 200 m long running at 80 kmph crosses a platform in 22 sec. What is the length of the platform?
Present age of a father is 3 years more than three times the age of his son. Three years hence, father's age will be 10 years more than twice the age of the son. What is father's present age?
A man walks at a speed of 2 km/hr and runs at a speed of 6 km/hr. How much time will the man require to cover a distance of 20 1/2 km, if he completes half of the distance, i.e., (10 1/4) km on foot and the other half by running ?
A goods truck travels from a place at a certain time and at fixed speed. After 6hrs another truck leaves the same place and move in same direction of uniform speed of 90kmph. The truck catches up the goods truck in 4hrs. Find the speed of the goods truck ?
Tom and Bob have a total of 49 toys. If Bob has 5 more toys than Tom, how many toys does each one have?
In a goat farm, the goat give birth to lamps and the count of goat increases by 60% every year. How many years it will take to get the count tripled?
The average of 45 results is 9. The average of first 22 of them is 15 and that of last 22 is 20. Find the 23 result?
Among all sales staff at Amtek Corporation, college graduates and those without college degrees are equally represented . Each sales staff member is either a level-1 or level-2 employee. Level-1 college graduates account for 15% of Amtek's sales staff. Amtek employs 80 level-1 employees, 30 of whom are college graduate...
A particular parking garage is increasing its rates by 20 percent per month. Bob decides to reduce the number of days he uses the garage per month so that the amount he spends at the garage per month remains unchanged. Which of the following is closest to Bob’s percentage reduction in the number of days he uses the gar...
If x and y are positive integers such that (3x+7y) is a multiple of 11, then which of the followings are divisible by 11?